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Finding the Fourth Proportional to 20,284.58, 30,413.85 and 8,446.55

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Solution

The fourth proportional to 20,284.58, 30,413.85 and 8,446.55 is: 12,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.58 : 30,413.85 = 8,446.55 : x
  2. Step 2: Convert to fraction form
    20,284.58/30,413.85 = 8,446.55/x
  3. Step 3: Cross multiply
    20,284.58x = 30,413.85 × 8,446.55
  4. Step 4: Simplify right side
    20,284.58x = 256,892,104.72
  5. Step 5: Solve for x
    x = 256,892,104.72/20,284.58
  6. Step 6: Final answer
    x = 12,664.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.